Mean entropy of states in classical statistical mechanics
Abstract
The equilibrium states for an infinite system of classical mechanics may be represented by states over Abelian C* algebras. We consider here continuous and lattice systems and define a mean entropy for their states. The properties of this mean entropy are investigated: linearity, upper semi-continuity, integral representations. In the lattice case, it is found that our mean entropy coincides with the Kolmogorov-Sinai invariant of ergodic theory.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- August 1967
- DOI:
- 10.1007/BF01646480
- Bibcode:
- 1967CMaPh...5..288R